This paper gives a definition of equivalent set for the 3x+1 conjecture and constructs an equivalent set for the 3x+1 conjecture that is of arbitrarily small asymptotical density.
本文定义了３ｘ＋１猜想的等价集，并给出３ｘ＋１猜想的一个等价命题；构造出渐近密度可以任意小的３ｘ＋１猜想等价集。
Oscillatory and asymptotic behaviors of high-order nonlinear ordinary differential equation with impulses;
带脉冲高阶非线性微分方程解的振动性和渐近性
Oscillatory and asymptotic behavior of higher order functional differential equation with impulses;
高阶线性脉冲泛函微分方程解的振动性与渐近性研究
The Localized State, Extended State of Electron and Mobility Edges in Asymptotic Quasiperiodic Potentials;
渐近准周期势场中电子的局域态、扩展态和迁移率边界
With Liouville-Green transform, the asymptotic method to solve second homogeneous linearity equation was improved.
结合Liouville-Green变换,改进了求解变系数二阶线性齐次方程的渐近法。
Reagarding the inertia force of rotor as the force acting on the shaft, the effect of thermal expansion upon the natural transversal vibration frequencies of rotor system is studied by a new nonlinear asymptotic method.
把转子的惯性力看成作用在轴上的外力,采用新的非线性渐近法研究热膨胀对转子系统固有横振频率的影响。
The dual asymptotic method developed previously by the authors is employed to solve the finite element equation.
数值分析采用［３］中提出的两次渐近法。
The asymptotic analysis of interfacial stability with surface tension anisotropy for directional solidification of alloys;
各向异性作用下合金定向凝固界面稳定性的渐近分析
Technique of asymptotic analysis in electromagnetic scatterings;
渐近分析在电磁散射中的应用
Considering the effect of kinetic super-cooling on the interface and by means of asymptotic analysis theory,the stability of the liquid-solid interface of the spherical crystals growth in super-cooled pure melts is analyzed.
从Mullins-Sekerka理论出发,修改了Cristini和Lowengrub的动力过冷项,考虑界面上动力过冷的影响,应用渐近分析的理论继续分析过冷纯熔体中球状晶体生长液固界面的稳定性。